Question
estimate the rotational kinetic energy of earth, assuming it to be a solid sphere of uniform density
Answers
MathMate
The rotational kinetic energy of a spinning sphere is given by
K = (1/2)Iω²
where
K=kinetic energy due to rotation
I=moment of inertia about the rotation axis
ω = angular velocity
The moment of inertia of a sphere spinning about an axis passing through its centre, I is
I=(2/5)mr²
Where m=mass of the sphere,
and r=radius of sphere.
Calculate K.
K = (1/2)Iω²
where
K=kinetic energy due to rotation
I=moment of inertia about the rotation axis
ω = angular velocity
The moment of inertia of a sphere spinning about an axis passing through its centre, I is
I=(2/5)mr²
Where m=mass of the sphere,
and r=radius of sphere.
Calculate K.